Many methods have been proposed to synchronize chaotic systems. The most widely used methods are the continuous synchronization schemes [Pecora & Carroll, 1990], where the driving signals are transmitted continuously to the driven systems. The other synchronization schemes are impulsive synchronization [Panas et al., 1998] and selective synchronization [Itoh et al., 2000]. In an impulsive synch...

Chaotic signal helps in a secure communication, by generating wideband spectra of random sequences. Chaotic signal has the property of synchronization; data are transmitted from one location to another by mapping bit sequences to symbols, and symbols to sample functions of analog waveforms. The synchronization between two digital chaotic oscillators, serving as a transmitterreceiver scheme, is ...

Introduction In order to improve the quality of life of amputees, biomechatronic researchers and biomedical engineers have been trying to use a combination of various techniques to provide suitable rehabilitation systems. Diverse biomedical signals, acquired from a specialized organ or cell system, e.g., the nervous system, are the driving force for the whole system. Electromyography(EMG), as a...

Accurate detection of weak periodic signals within noise and possibility of secure messaging have made Duffing oscillator (DO) highly important in the field of communication. Investigation on the properties of DO is thus ardently sought for. An elegant approach to accomplish the same is to fabricate electronic circuit simulating DO non-linear equation and to study the effect of input signal amp...

In the paper, we use Microsoft’s Visual Studio Development Kit and the C# programming language to implement chaos-based electroencephalogram (EEG) encryption system with three encryption levels. A chaos logic map, an initial value, and a bifurcation parameter for the map are used to generate level I chaosbased EEG encryption bit streams. Two encryption-level parameters are added to these elemen...

The linear theory of prediction is capable of performing long term forecasting when the observed time series is linear. For the chaotic signals, where linear modeling techniques are insufficient, nonlinear approximation theory can be used effectively for predicting. Long-term prediction however, is always difficult to achieve for such signals because of the amplification of errors in each predi...

Compressive sensing uses simultaneous sensing and compression to provide an efficient image acquisition technique and it has been demonstrated in optical and electrical image sensors. To guarantee exact recovery from sparse measurements, specific sensing matrix, which satisfies the Restricted Isometry Property (RIP), should be well chosen. Toeplitz-structured chaotic sensing matrix constructed ...

Synchronized chaotic systems have recently been applied to the area of secure communications in a variety of ways. At the same time, there have also been significant advances in deciphering messages masked by chaotic signals. It is important, therefore, to explore more secure approaches to using chaos in communication. We show that multiple chaotic systems can be synchronized through a scalar c...

In this paper an approach is proposed for synchronizing chaotic systems, taking the viewpoint of a special characterization of chaotic attractors in which spiraling and excursion orbits are identified as the basic constituents. The proposed synchronization method takes advantage of the fact that a chaotic attractor is strongly characterized by excursion orbit segments, and hence synchronization...